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- A researcher obtains t(20) = 2.00 and MD = 9 for a repeated-measures study. If the researcher measures effect size using the percentage of variance accounted for, what value will be obtained for r2?A random sample of senior citizens living in a retirement village reported that they had an average of 1.42 face-to-face interactions per day with their neighbors. A random sample of those living in age-integrated communities reported 1.58 interactions per day. Is the difference between the two senior citizen groups significant? Please provide t critical, t obtained and your decision. Retirement Community 1 Retirement Community 2 Mean1 = 1.42 Mean2 = 1.58 s1 = 0.10 s2 = 0.78 N1 = 43 N2 = 37Consider an automatic production line that delivers computer components for inspection. According to the system’s specification, the interarrival time of the delivery follows a continuous uniform distribution between 5 to 15 minutes. The average inspection time of one component is 10 minutes. A simulation model was developed to replicate the system and eight samples were collected with the following data: Sample # 1 2 3 4 5 6 7 8 Interarrival time 14.7 14.8 6.8 11.6 6.3 13.3 7.9 10.3 Inspection time 8.3 5.7 4.0 9.0 10.6 5.9 8.5 7.0 Apply the Kolmogorov-Smirnov test, at the 1% level of significance, to test the hypothesis that the simulated interarrival times comply with the system’s specification. Conduct a statistical test to determine if the simulated inspection times are consistent with the system behavior at the 5% level of significance. Give another set of inspection times, 9.1, 12.7, 8.7, 10.8, 11.6, and 6.8,…
- The average UQ student reports dedicating 8.5 hours per week to each 2-unit course. What is the approximate t obtained value for a group of 16 psychology students who study for a mean of 9.5 hours per week for each 2-unit course, where the estimated population variance is 3.68. Would this sample be considered significantly different from the population, applying an alpha level of 0.05? t = 0.48; the sample would be considered statistically significant t = 0.48; the sample would NOT be considered statistically significant t = 2.08; the sample would NOT be considered statistically significant t = 2.08; the sample would be considered statistically significant3) A firm in Lebanon has developed a chemical solution that can be added to car gasolinewhich they believe will increase the miles per gallon that cars will get. The owners areinterested in estimating the difference between mean mpg for cars using the chemicalsolution versus those that are not using the solution. The following data represent the mpgfor independent random samples of cars from each population.with Solution without Solution______________________________n1 = 36 n2 = 42 x1 = 25.45 x2 = 24.1 _______________________________Assume that the populations are normally distributed and the population standarddeviations are known to be σ1 = 3.95 (with solution) and σ2 = 3.09 (without solution).Given this data, can the owners believe that there is a difference between mean mpg forcars using the chemical solution versus those that are not using the solution? Test using analpha level equal to 0.05.4) Given the following null and alternative hypothesis:H0: σ 2 ≤ 52HA : σ 2 > 52and the…Q.8.1 A large manufacturing company claims that more than 88% of its customers are fullysatisfied with the company’s products. Test this claim at the 5% significance level, if asurvey found that 360 out of a random sample of 400 of the company’s customerssaid that they were fully satisfied with the company’s products.Q.8.2 The CEO of Global Investment Funds claims that, on average, clients leave theirinvestment funds with the company for a period of at least 56 months.Test this claim at the 10% significance level, if it was found that a sample of 29 clientsleft their investment funds with the company for an average period of 58.85 months,with a standard deviation of 3.75 months.Q.8.3 A shop owner claims that on average, his shop has a daily turnover of R75 000. Testthis claim at the 5% significance level, if the average daily turnover for a sample of 88days was R71 500. Assume a population standard deviation of R4 450.
- The researchers reported:" A 2x2 ANOVA revealed, first of all, a main effect for depletion, indicating that depleted individuals generated less ideas (M = 9.40, SD = 5.64) than non-depleted individuals (M = 12.44, SD = 7.34), F (1, 108) = 6.03, p = .016, n2 = .05. This effect was qualified by the expected interaction with [perseverance], F (1,108) = 4.52, p = .036, n2 = .05". What size are the effects for the main effect of depletion and for the interaction between depletion and perseverance, according to Cohen's conventions? a. These are small- to -medium effects b. These are non existent effects c. These are large effects d. We are unable to tell from from the n2 / r2 statisticsA suburban hotel derives its revenue from its hotel and restaurant operations. Theowners are interested in the relationship between the number of rooms occupied on anightly basis and the revenue per day in the restaurant. Below is a sample of 25 days(Monday through Thursday) from last year showing the restaurant income and numberof rooms occupied.which of the following individuals is likely to be excluded from a clinical trial? a-individual with other diseases besides the disease of interest b-an individual whose data is considered to be an outlier c-an individual of who is considered to be a minority d-an individual who will have difficulty complying trial protocols.
- Miller (2008) examined the energy drink consumption of college undergraduates and found that female useenergy drinks significantly less often than males. To further investigate this phenomenon, suppose that a researcher selects a random sample of n = 36 male undergraduates and a sample of n = 25 females. On average, the males reported consuming M = 2.45 drinks per month and females had an average of M = 1.28. Assume that the overall level of consumption for college undergraduates averages mean = 1.85 energy drinks per month, and that the distribution of monthly consumption scores is approximately normal with a standard deviation is = 1.2. Use alpha =.01The final test and exam averages for 20 randomly selected students taking a course in engineering statistics and a course in operations research are in Table E11-7. Assume that the final averages are jointly normally distributed.You want to run a 2-tailed independent t-test on sample 1 (M = 24.3, SD = 1.6) and sample 2 (M = 27.5, SD = 1.8), which each have sample size = 5. You have set Alpha = 0.01. Assume equal variances and calculate t_obs.
